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Q: Use Cartesian coordinates to evaluate Jff v² av . D where D is the tetrahedron in the first octant…

A: We need to find the integral , ∭D y2 dV   where D is the tetrahedron in the first octant bounded by…

Q: There are 3 red, 4 green, 4 white, and 5 blue marbles in a bag. If you select 2 marbles, what is the…

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Q: The graph shown is f(x) = √√x + 2. 2 + X 54-3-2-1 1 2 3 4 5 -2- 3 What is the integral function that…

A: Using vertical strip

Q: Consider the function f(2)=2 sin ((z-3)) +6. State the amplitude A, period P, and midline. State the…

A: This question can be solved using the concept of general equation of sine curve.

Q: Determine whether the given function is even, or odd, or neither. One period is defined for the…

A: We have to find if the function is even or odd.

Q: Find the vector 2u-5v where u = and v= Find the dot product of vectors p= and q = Q3: Find the unit…

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Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at a = 10 for f(x) = ln(x + 1).

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Q: 5. Use Cartesian coordinates to evaluate [[[ 1² av where D is the tetrahedron in the first octant…

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Q: For the curve x+y-y=1 complete the following parts. a. Find equations of all lines tangent to the…

A: This question is related to tangent to the curve, we will solve it using given information.

Q: Show that the given differential equation 7a²y" + (1x² + 7) = y 0 = has a regular singular point at…

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Q: 1. J(√sinx+cosx) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 17 What is the value of the expression 1 ?

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Q: 1. Find the limit, if it exists. If the limit does not exist, explain why. 8x³+2x+1+x+2 (b) lim 5x +…

A: Solution: The objective is to find the given limit

Q: y = 1 (1,1) A X=1 y=x² C X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and the…

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Q: ∫ cos ? ln(sin ?) ?x

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Q: (6) z² = pqxy z=c+x²y¹/a

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Q: a = 3n-2a What are the first 5 terms of the sequence represented by an Show all work for full…

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Q: 182 Σί What is the value of the expression 1?

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Q: (3+h)¹-81 The following limit limh→0 h represents the derivative of some function f at some number…

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Q: In x -2 x dx

A: Given: I=∫12lnxx2dx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 5 about the x-axis.…

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Q: 8. Scoth 2x In (sinh 2x) dx

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Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: To find: The amplitude, midline and period from the graph and further write the function. Formula…

Q: Find all solutions of the equation in the interval [0, 27). 2 cos 0+1=0 Write your answer in radians…

A: Given:   2cosθ+1=0   2cosθ+1-1=0-1             {subtract 1 from both sides}   2cosθ=-1   2cosθ2=-12…

Q: The answer was correct but I don't understand, how you got the number 2 on the last line. G'(5) = 2…

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Q: Find the equation of the plane that passes through the points (3, -2, 2), (-9, 2, 4) and (-6, -4,…

A: We need to find equation of plane.

Q: 7. find the given general differential solution, using homogeneous equations with constant…

A: Put y = emx into the differential equation and find 'm' . General solution : y=c1y1+c2y2

Q: determine the maximum, minimum or inflection point of f(x)= 6x/x^2 + 3

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Q: 1. If A (in²) is the area of a square and s (inches) is the length of a side. Find the average rate…

A: This is a problem related to rate of change of the function. Based on the general formula and…

Q: 4. Evaluate the double integral: So SAFI y¹/3 x7 +1 (Hint: Change the order of integration to dy…

A: Graph of the limits÷ x=y13,x=2,y=0,y=8

Q: 4) Angle A of triangle ABC is decreasing at the rate of 4 degrees per second, while sides AB and AC…

A: According to the guidelines if we get more then one question then we have to solve only first…

Q: 2 [*x* (Inx)² dx

A: Given integration is evaluated.

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: find the given general differential solution, using homogeneous equations with constant…

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Q: Consider the substitution 1 u(x) y(x)* What is ? Use the substitution to obtain a 1st-order linear…

A: Explanation of the answer is as follows

Q: Exercise (1-3): By Charpit method solve the following PDE

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Q: Compute T₂(x) at x = 0.8 for y = et and use a calculator to compute the error |eª — T₂(x)| at x =…

A: We have to find T2(x) and error.

Q: Determine whether the differential equation (5x² - 2xy + 6) dx + (7y² − x² + 5) dy = 0 is exact. If…

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Q: Carbon Monoxide Pollution The number of cars running in the business district of a town at time t is…

A: topic - composite functions

Q: Consider the sequence 20, 14, 8, 2, ……, (a)    Write a recursive formula of the sequence. (b)…

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Q: Consider the following pattern 9 * 1 - 1 equals 8 9 * 21 - 1 equals 188 9 * 321 - 1 equals 2888 9 *…

A: Concept: Inductive reasoning: Inductive reasoning is an approach for arriving at inferences by…

Q: Q1/ find the Eigen value and Eigen vector for the largest Eigen value if -2 2 -31 [A]= 2 1 -6 -1 -2…

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Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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Q: Find the direction cosines of the vector (4,-8,-8) 8 8 O cosa = 4 12 cosß cosy= 12 12 8 cosa = √12…

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: Find the dimensions of a rectangle with area 2,197 m2 whose perimeter is as small as possible. (If…

A: Let's find Dimension of rectangle.

Q: find the given general differential solution

A: Let, y= emx is a…

Q: Use mathematical induction to prove the following: 1 + 3 + 5 + ... + (2n – 1) = n² for n ≥ 1

A: This question can be solved using the four basic steps of mathematical induction.

Q: Use Cartesian coordinates to evaluate JJJ² dV D where D is the tetrahedron in the first octant…

A: Given integration is evaluated.